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Finding the Fourth Proportional to 249.98, 376.49 and 211.73

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Solution

The fourth proportional to 249.98, 376.49 and 211.73 is: 318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.98 : 376.49 = 211.73 : x
  2. Step 2: Convert to fraction form
    249.98/376.49 = 211.73/x
  3. Step 3: Cross multiply
    249.98x = 376.49 × 211.73
  4. Step 4: Simplify right side
    249.98x = 79,714.23
  5. Step 5: Solve for x
    x = 79,714.23/249.98
  6. Step 6: Final answer
    x = 318.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.